What is the Least Common Multiple of 4975 and 4985?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 4975 and 4985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4975 and 4985, than apply into the LCM equation.

GCF(4975,4985) = 5
LCM(4975,4985) = ( 4975 × 4985) / 5
LCM(4975,4985) = 24800375 / 5
LCM(4975,4985) = 4960075

Least Common Multiple (LCM) of 4975 and 4985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4975 and 4985. First we will calculate the prime factors of 4975 and 4985.

Prime Factorization of 4975

Prime Factorization of 4985

Now multiplying the highest exponent prime factors to calculate the LCM of 4975 and 4985.

LCM(4975,4985) = 5² × 199¹ × 997¹
LCM(4975,4985) = 4960075